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Department of Mathematical Sciences

Afkhami, Shahriar

Contact Info
Title: Associate Professor
Email: shahriar@njit.edu
Office: 623 Cullimore Hall
Phone: 973-596-5719
Dept: Mathematical Sciences
Webpage:

About Me

Shahriar Afkhami’s research focuses on modeling flowing complex fluids including viscoelastic liquids, electro/magnetohydrodynamics, interfacial flows in porous media, dynamic contact lines, and microfluidics. Studies of existence of solutions, flow stability, asymptotic behavior, and singularities of such problems pose a great challenge. He uses numerical modeling for addressing some of these mathematical open questions and for understanding the underlying physical mechanisms of these phenomena. His current energy and environmental related projects involve large-scale 3D computations of drop dynamics and breakup in polymer processing, microfluidics, and electrowetting. Motivated by biomedical and pharmaceutical applications, he recently has been studying the deformation and motion of ferrofluid droplets in viscous media.

Education

  • Ph.D., University of Toronto, 2007

Fellowships

  • Virginia Tech University Postdoctoral Fellowship (2007 – 2008)
  • McAllister Foundation Scholarship (May – Sept. 2007)
  • University of Paris VI, CNRS Fellowship (Sept. – Nov. 2006)
  • University of Toronto Fellowship (2003 – 2007)

Research Support

  • National Computational Science Alliance, grant TG-DMS080012 (2007 – 2008)
  • “Computational investigation of viscoelastic liquid-liquid breakup”, S. Afkhami (PI), 30,000 SU hrs.
  • National Computational Science Alliance, grant TG-DMS090008 (2008 – 2010)
  • “Two-fluid dynamics in polymer processing, ferrohydrodynamics, and electrowetting”, S. Afkhami and Y. Renardy (PIs), TG LRAC Award, 600,000 SU hrs. 

Appointments

  • Visiting Assistant Professor, Virginia Tech (May – July 2010)
  • Visiting Assistant Professor, Virginia Tech (2008 – 2009)
  • Postdoctoral Research Associate, Virginia Tech (2007 – 2008)
  • Visiting Research Assistant, Université Pierre et Marie Curie (Sept. – Nov. 2006)
  • Research Assistant, University of Toronto (2003 – 2007)

Professional Organizations

  • American Physical Society
  • European Mechanics Society
  • Institute for Liquid Atomization and Spray Systems
  • Society for Industrial and Applied Mathematics
  • Society of Rheology

 


Courses I Teach

CALCULUS I
NUMERICAL METHODS II
DOCT DISSERTATION & RES
DOCT DISSERTATION & RES
DOCTORAL DISSERTATION
PRE DOCTORAL RESEARCH

Research Interests

My research lies at the interface of applied mathematics, chemical engineering, and mechanical engineering. I am interested in computational fluid dynamics, high-performance computing, and algorithm development for modeling flows of complex fluids. These include:

  • Rheologically complex liquids
  • Magnetic liquids
  • Flow interaction with microscopic geometries
  • Electrowetting
  • Microfluidics
  • Droplets on porous materials

Current Research

My current research mainly focuses on interfacial dynamics in liquid-liquid and liquid-liquid-solid systems. I develop algorithms for modeling flows of viscoelastic liquids, motion and deformation of ferrofluid drops in viscous media, dynamics of moving contact lines, and wetting/dewetting/absorption of droplets on porous media.


Selected Publications

  • S. Afkhami, A. Tyler, Y. Renardy, M. Renardy, T. St. Pierre, R. Woodward, and J. S. Riffle, "Deformation of a hydrophobic ferrofluid droplet suspended in a viscous medium under uniform magnetic fields", Journal of Fluid Mechanics, doi:10.1017/S0022112010003551, 2010.
  • S. Afkhami, P. Yue, and Y. Renardy, “A comparison of viscoelastic stress wakes for 2D and 3D Newtonian drop deformation in a viscoelastic matrix under shear”, Physics of Fluids, vol. 21: 072106, 2009.
  • S. Afkhami, S. Zaleski, and M. Bussmann, “A mesh-dependent model for applying dynamic contact angles to VOF simulations”, Journal of Computational Physics, vol. 228, pp. 5370-5389, 2009.
  • K. Verhulst, R. Cardinaels, P. Moldenaers, S. Afkhami, and Y. Renardy, “Influence of viscoelasticity on drop deformation and orientation in shear flow. Part 2: Dynamics”, Journal of Non-Newtonian Fluid Mechanics, vol. 156, pp. 44-57, 2009.
  • K. Verhulst, R. Cardinaels, P. Moldenaers, Y. Renardy, and S. Afkhami, “Influence of viscoelasticity on drop deformation and orientation in shear flow. Part 1: Stationary state”, Journal of Non-Newtonian Fluid Mechanics, vol. 156, pp. 29-43, 2009.
  • S. Afkhami, Y. Renardy, M. Renardy, J. S. Riffle, and T. St. Pierre, “Field-induced motion of ferrofluid droplets through immiscible viscous media”, Journal of Fluid Mechanics, vol. 610, pp. 363-380, 2008.
  • S. Afkhami and M. Bussmann, "Height functions for applying contact angles to 3D VOF simulations", International Journal for Numerical Methods in Fluids, vol. 61, pp. 827-847, 2009.
  • S. Afkhami and M. Bussmann, “Height functions for applying contact angles to 2D VOF simulations”, International Journal for Numerical Methods in Fluids, vol. 57, pp. 453-472, 2008.